Slope and Linear Word Problems

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs. Write a linear equation that could be used to find how many cats and dogs were washed.

• -5x + 7.5y = 60

• 5x + 7.5x = 60

• 5x - 7.5y = 60

• 5x + 7.5y = 60

Tags

CCSS.8.EE.C.8C

Which point falls on the line:
y - 5 = 2(x + 3)

• (-5, 3)

• (5, -3)

• (3, -5)

• (-3, 5)

What is the y intercept of the line that has a slope of -3 and passes through the point (-1, 3)?

• The y intercept is 3

• The y intercept is 6

• The y intercept is 0

• The y intercept is 8

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Tags

CCSS.HSF.LE.B.5

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Tags

CCSS.6.EE.C.9

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+80

• y=x+15

• y=80x+15

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.

• 12x + 14y = 708

• 14x + 12y = 708

• 708x + 14y = 12

• 12x + 708y = 14

Tags

CCSS.8.EE.C.8C

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15

• C = 15h + 2

• h = 15C + 2

• C = 2h + 15

Tags

CCSS.6.EE.C.9

Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  

• 20x + 15 = y 

• 35x = y 

• 15x + 20y = 150 

• 150 - 20x = 15y 

Tags

CCSS.HSA.CED.A.3

Bob has $150 in his savings account and saves $40 per month.

• y=150 + 40

• y=40x + 150

• y=150x + 40

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2